170 citations
- Polish Academy of SciencesPL15 papers
- Jagiellonian UniversityPL7 papers
- University of WrocławPL7 papers
- University of BiałystokPL6 papers
- National Academy of Sciences of UkraineUA5 papers
- Wrocław University of Science and TechnologyPL5 papers
- University of WarsawPL4 papers
- Carl von Ossietzky Universität OldenburgDE3 papers
- Chinju National University of EducationKR2 papers
- Częstochowa University of TechnologyPL2 papers
- Gyeongsang National UniversityKR2 papers
- Hebrew University of JerusalemIL2 papers
5 papers · 1 filter
An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
T H Lenagan, Agata Smoktunowicz
We construct a nil algebra over a countable field which has finite but non-zero Gelfand-Kirillov dimension.
Quasi-Holonomic Modules in Positive Characteristic
Anatoly N. Kochubei
We study modules over the Carlitz ring, a counterpart of the Weyl algebra in analysis over local fields of positive characteristic. It is shown that some basic objects of function…
Goldie conditions for Ore extensions over semiprime rings
A. Leroy, J. Matczuk
Let be a ring, an injective endomorphism of and a -derivation of . We prove that if is semiprime left Goldie then the same holds for the Ore extension $R[…
Ore Extensions over Duo Rings
Jerzy Matczuk
We show that there exist noncommutative Ore extensions in which every right ideal is two-sided. This answers a problem posed by Marks in Duo Rings and Ore extensions, J.Algebra 280…
Automorphisms of quantum and classical Poisson algebras
Janusz Grabowski, Norbert Poncin
We prove Pursell-Shanks type results for the Lie algebra D(M) of all linear differential operators of a smooth manifold M, for its Lie subalgebra D^1(M) of all linear first-order d…